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Finding the Fourth Proportional to 367,683.22, 507,458.10 and 224,525.86

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Solution

The fourth proportional to 367,683.22, 507,458.10 and 224,525.86 is: 309,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,683.22 : 507,458.10 = 224,525.86 : x
  2. Step 2: Convert to fraction form
    367,683.22/507,458.10 = 224,525.86/x
  3. Step 3: Cross multiply
    367,683.22x = 507,458.10 × 224,525.86
  4. Step 4: Simplify right side
    367,683.22x = 113,937,466,316.47
  5. Step 5: Solve for x
    x = 113,937,466,316.47/367,683.22
  6. Step 6: Final answer
    x = 309,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.